Finite Group Databasebeta

← #25311209

Subgroups — #25311209

Order 11008.

1356 conjugacy classes of subgroups.

The subgroup lattice has 1240 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142986C211yesmaximal, characteristic
2#19142976C211yesmaximal, characteristic, complemented
3#19142475C211yesmaximal, characteristic, complemented
4#19142473C211yesmaximal, characteristic
5#19142414C211yesmaximal, characteristic, complemented
6#19142409C211yesmaximal, characteristic
7#19142390C211yesmaximal, characteristic, complemented
8#19142378C211yesmaximal, characteristic, complemented
9#19142349C211yesmaximal, characteristic, complemented
10#19142342C211yesmaximal, characteristic
11#19142334C211yesmaximal, characteristic
12#19142103C211yesmaximal, characteristic
13#19142101C211yesmaximal, characteristic
14#19142088C211yesmaximal, characteristic, complemented
15#19141996C211yesmaximal, characteristic, complemented
16#19141960C211yesmaximal, characteristic
17#19141945C211yesmaximal, characteristic, complemented
18#19141885C211yesmaximal, characteristic
19#19140694C211yesmaximal, characteristic, complemented
20#19140617C211yesmaximal, characteristic
21#19140290C211yesmaximal, characteristic
22#19140242C211yesmaximal, characteristic, complemented
23#19140169C211yesmaximal, characteristic
24#19140025C211yesmaximal, characteristic, complemented
25#19139784C211yesmaximal, characteristic, complemented
26#19139472C211yesmaximal, characteristic, complemented
27#19139459C211yesmaximal, characteristic
28#19137394C211yesmaximal, characteristic, complemented
29#19137199C211yesmaximal, characteristic
30#19137069C211yesmaximal, characteristic, complemented
31C43×#2594C211yesmaximal, characteristic
32C2×#13063315C2211yescharacteristic
33C2×C4×Dic86C2211yescharacteristic
34C2×#13063281C2211yescharacteristic
35C43⋊#401C2211yescharacteristic
36#14582841C2211yescharacteristic
37#14582841C2211yescharacteristic
38#14582841C2211yescharacteristic
39#14582841C2211yescharacteristic
40#14582841C2211yescharacteristic
41#14582840C2211yescharacteristic
42#14582840C2211yescharacteristic
43#14582840C2211yescharacteristic
44#14582839C2211yescharacteristic
45#14582839C2211yescharacteristic
46#14582838C2211yescharacteristic
47#14582838C2211yescharacteristic
48#14582837C2211yescharacteristic
49#14582837C2211yescharacteristic
50#14582837C2211yescharacteristic
51#14582837C2211yescharacteristic
52#14582837C2211yescharacteristic
53#14582835C2211yescharacteristic
54#14582833C2211yescharacteristic
55#14582833C2211yescharacteristic
56#14582833C2211yescharacteristic
57#14582833C2211yescharacteristic
58#14582833C2211yescharacteristic
59#14582832C2211yescharacteristic
60#14582832C2211yescharacteristic
61#14582832C2211yescharacteristic
62#14582831C2211yescharacteristic
63#14582831C2211yescharacteristic
64#14582830C2211yescharacteristic
65#14582827C2211yescharacteristic
66#14582827C2211yescharacteristic
67#14582827C2211yescharacteristic
68#14582827C2211yescharacteristic
69#14582824C2211yescharacteristic
70#14582822C2211yescharacteristic
71#14582820C2211yescharacteristic
72#14582820C2211yescharacteristic
73#14582819C2211yescharacteristic
74#14582819C2211yescharacteristic
75#14582819C2211yescharacteristic
76#14582811C2211yescharacteristic
77#14582811C2211yescharacteristic
78#14582811C2211yescharacteristic
79#14582805C2211yescharacteristic
80#14582804C2211yescharacteristic
81#14582804C2211yescharacteristic
82#14582804C2211yescharacteristic
83#14582803C2211yescharacteristic
84#14582803C2211yescharacteristic
85#14582803C2211yescharacteristic
86#14582803C2211yescharacteristic
87#14582803C2211yescharacteristic
88#14582803C2211yescharacteristic
89#14582803C2211yescharacteristic
90#14582803C2211yescharacteristic
91#14582797C2211yescharacteristic
92#14582797C2211yescharacteristic
93#14582797C2211yescharacteristic
94#14582796C2211yescharacteristic
95#14582795C2211yescharacteristic
96#14582795C2211yescharacteristic
97#14582794C2211yescharacteristic
98#14582794C2211yescharacteristic
99#14582794C2211yescharacteristic
100#14582793C2211yescharacteristic
101#14582793C2211yescharacteristic
102#14582793C2211yescharacteristic
103#14582792C2211yescharacteristic
104#14582792C2211yescharacteristic
105#14582792C2211yescharacteristic
106#14582787C2211yescharacteristic
107#14582787C2211yescharacteristic
108#14582787C2211yescharacteristic
109#14582787C2211yescharacteristic
110#14582787C2211yescharacteristic
111#14582786C2211yescharacteristic
112#14582786C2211yescharacteristic
113#14582786C2211yescharacteristic
114#14582786C2211yescharacteristic
115#14582785C2211yescharacteristic
116#14582785C2211yescharacteristic
117#14582785C2211yescharacteristic
118#14582785C2211yescharacteristic
119#14582785C2211yescharacteristic
120#14582785C2211yescharacteristic
121#14582784C2211yescharacteristic
122#14582784C2211yescharacteristic
123#14582784C2211yescharacteristic
124#14582784C2211yescharacteristic
125#14582784C2211yescharacteristic
126#14582784C2211yescharacteristic
127#14582783C2211yescharacteristic
128#14582783C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582783C2211yescharacteristic
131#14582783C2211yescharacteristic
132#14582783C2211yescharacteristic
133#14582783C2211yescharacteristic
134#14582783C2211yescharacteristic
135#14582782C2211yescharacteristic
136#14582782C2211yescharacteristic
137#14582782C2211yescharacteristic
138#14582781C2211yescharacteristic
139#14582781C2211yescharacteristic
140#14582781C2211yescharacteristic
141#14582781C2211yescharacteristic
142#14582781C2211yescharacteristic
143#14582781C2211yescharacteristic
144#14582781C2211yescharacteristic
145#14582780C2211yescharacteristic
146#14582780C2211yescharacteristic
147#14582780C2211yescharacteristic
148#14582780C2211yescharacteristic
149#14582780C2211yescharacteristic
150#14582774C2211yescharacteristic
151#14582774C2211yescharacteristic
152#14582771C2211yescharacteristic
153#14582771C2211yescharacteristic
154#14582768C2211yescharacteristic
155#14582768C2211yescharacteristic
156#14582767C2211yescharacteristic
157#14582766C2211yescharacteristic
158#14582766C2211yescharacteristic
159#14582766C2211yescharacteristic
160#14582766C2211yescharacteristic
161#14582763C2211yescharacteristic
162#14582763C2211yescharacteristic
163#14582757C2211yescharacteristic
164#14582757C2211yescharacteristic
165C4×Dic43⋊C4C2211yescharacteristic
166C4×Dic43⋊C4C2211yescharacteristic
167C4×Dic43⋊C4C2211yescharacteristic
168#14582750C2211yescharacteristic
169#14582745C2211yescharacteristic
170#14582745C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C43×#401C2211yescharacteristic
173C43×#398C2211yescharacteristic
174C43×#397C2211yescharacteristic
175C43×#396C2211yescharacteristic
176C43×#389C2211yescharacteristic
177C43×#388C2211yescharacteristic
178C43×#388C2211yescharacteristic
179C43×#388C2211yescharacteristic
180C43×#388C2211yescharacteristic
181C43×#388C2211yescharacteristic
182C43×#387C2211yescharacteristic
183C43×#387C2211yescharacteristic
184C43×#387C2211yescharacteristic
185C4×C4⋊C4×C43C2211yescharacteristic
186C4×C4⋊C4×C43C2211yescharacteristic
187C22×Dic86C2311yescharacteristic
188C22×Dic86C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C23×Dic43C2311yescharacteristic
191#13063315—24no—
192C4×Dic86—24no—
193#13063281—24no—
194C2×C4⋊Dic43C2311yescharacteristic
195C2×C4⋊Dic43C2311yescharacteristic
196C2×C4⋊Dic43C2311yescharacteristic
197C2×C4⋊Dic43C2311yescharacteristic
198C2×C4⋊Dic43C2311yescharacteristic
199C2×C4⋊Dic43C2311yescharacteristic
200C2×C4⋊Dic43C2311yescharacteristic
201C2×C4⋊Dic43C2311yescharacteristic
202C2×C4⋊Dic43C2311yescharacteristic
203C2×C4⋊Dic43C2311yescharacteristic
204C2×Dic43⋊C4C2311yescharacteristic
205C2×Dic43⋊C4C2311yescharacteristic
206C2×Dic43⋊C4C2311yescharacteristic
207C2×Dic43⋊C4C2311yescharacteristic
208C2×Dic43⋊C4C2311yescharacteristic
209C2×Dic43⋊C4C2311yescharacteristic
210C2×Dic43⋊C4C2311yescharacteristic
211C2×Dic43⋊C4C2311yescharacteristic
212C2×Dic43⋊C4C2311yescharacteristic
213C2×Dic43⋊C4C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×C22⋊Dic43C2311yescharacteristic
231C2×C22⋊Dic43C2311yescharacteristic
232C2×C22⋊Dic43C2311yescharacteristic
233C2×C22⋊Dic43C2311yescharacteristic
234C2×C22⋊Dic43C2311yescharacteristic
235C2×C22⋊Dic43C2311yescharacteristic
236C2×C22⋊Dic43C2311yescharacteristic
237C2×C4×Dic43C2311yescharacteristic
238C2×C4×Dic43C2311yescharacteristic
239C2×C4×Dic43C2311yescharacteristic
240C2×C4×Dic43C2311yescharacteristic
241C2×C4×Dic43C2311yescharacteristic
242C2×C4×Dic43C2311yescharacteristic
243C2×C4×Dic43C2311yescharacteristic
244C2×C4×Dic43C2311yescharacteristic
245C2×C4×Dic43C2311yescharacteristic
246C2×C4×Dic43C2311yescharacteristic
247C2×C4×Dic43C2311yescharacteristic
248C2×C4×Dic43C2311yescharacteristic
249C2×C4×Dic43C2311yescharacteristic
250C43⋊#95C2311yescharacteristic
251C43⋊#95C2311yescharacteristic
252C43⋊#95C2311yescharacteristic
253C43⋊#95C2311yescharacteristic
254C43⋊#95C2311yescharacteristic
255C43⋊#95C2311yescharacteristic
256C43⋊#95C2311yescharacteristic
257C43⋊#95C2311yescharacteristic
258C43⋊#95C2311yescharacteristic
259C43⋊#95C2311yescharacteristic
260C43⋊#95C2311yescharacteristic
261C43⋊#95C2311yescharacteristic
262C43⋊#95C2311yescharacteristic
263C43⋊#95C2311yescharacteristic
264C43⋊#95C2311yescharacteristic
265C43⋊#95C2311yescharacteristic
266C43⋊#95C2311yescharacteristic
267C43⋊#95C2311yescharacteristic
268C43⋊#95C2311yescharacteristic
269C43⋊#95C2311yescharacteristic
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C2×C4⋊C4×C43C2311yescharacteristic
311C2×C4⋊C4×C43C2311yescharacteristic
312C2×C4⋊C4×C43C2311yescharacteristic
313C2×C4⋊C4×C43C2311yescharacteristic
314C2×C4⋊C4×C43C2311yescharacteristic
315C2×C4⋊C4×C43C2311yescharacteristic
316C2×C4⋊C4×C43C2311yescharacteristic
317C2×C4⋊C4×C43C2311yescharacteristic
318C2×C4⋊C4×C43C2311yescharacteristic
319C2×C22⋊C4×C43C2311yescharacteristic
320C2×C22⋊C4×C43C2311yescharacteristic
321C2×C22⋊C4×C43C2311yescharacteristic
322C2×C22⋊C4×C43C2311yescharacteristic
323C2×C22⋊C4×C43C2311yescharacteristic
324C2×C22⋊C4×C43C2311yescharacteristic
325C2×C22⋊C4×C43C2311yescharacteristic
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329C2×C42×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345C24×C43C2411yescharacteristic
346C22×C4×C43C2411yescharacteristic
347C22×C4×C43C2411yescharacteristic
348C22×C4×C43C2411yescharacteristic
349C22×C4×C43C2411yescharacteristic
350C22×C4×C43C2411yescharacteristic
351C22×C4×C43C2411yescharacteristic
352C22×C4×C43C2411yescharacteristic
353C22×C4×C43C2411yescharacteristic
354C22×C4×C43C2411yescharacteristic
355C22×C4×C43C2411yescharacteristic
356C22×C4×C43C2411yescharacteristic
357C22×C4×C43C2411yescharacteristic
358C22×C4×C43C2411yescharacteristic
359C22×C4×C43C2411yescharacteristic
360C22×Dic43—22no—
361C22×Dic43—41no—
362C22×Dic43—41no—
363C22×Dic43C2411yescharacteristic
364C22×Dic43C2411yescharacteristic
365C22×Dic43C2411yescharacteristic
366C22×Dic43C2411yescharacteristic
367C22×Dic43C2411yescharacteristic
368C22×Dic43C2411yescharacteristic
369C22×Dic43C2411yescharacteristic
370C22×Dic43C2411yescharacteristic
371C22×Dic43C2411yescharacteristic
372C22×Dic43C2411yescharacteristic
373C22×Dic43C2411yescharacteristic
374C22×Dic43C2411yescharacteristic
375C22×Dic43C2411yescharacteristic
376C22×Dic43C2411yescharacteristic
377C22×Dic43C2411yescharacteristic
378C22×Dic43C2411yescharacteristic
379C2×Dic86—22no—
380C2×Dic86—22no—
381C2×Dic86—22no—
382C2×Dic86—41no—
383C2×Dic86—41no—
384C2×Dic86—41no—
385C2×Dic86—41no—
386C2×Dic86—41no—
387C2×Dic86—41no—
388C4⋊C4×C43—22no—
389C4⋊C4×C43—22no—
390C4⋊C4×C43—22no—
391C4⋊C4×C43—41no—
392C4⋊C4×C43—41no—
393C4⋊C4×C43—41no—
394C4⋊C4×C43—41no—
395C4⋊C4×C43—41no—
396C4⋊C4×C43—41no—
397C22⋊C4×C43—22no—
398C22⋊C4×C43—22no—
399C22⋊C4×C43—41no—
400C22⋊C4×C43—41no—
401C22⋊C4×C43—41no—
402C22⋊C4×C43—41no—
403C22⋊C4×C43—41no—
404C42×C43—22no—
405C42×C43—41no—
406C42×C43—41no—
407C42×C43—41no—
408C42×C43—41no—
409C22⋊Dic43—22no—
410C22⋊Dic43—22no—
411C22⋊Dic43—41no—
412C22⋊Dic43—41no—
413C22⋊Dic43—41no—
414C22⋊Dic43—41no—
415C22⋊Dic43—41no—
416C4⋊Dic43—22no—
417C4⋊Dic43—22no—
418C4⋊Dic43—22no—
419C4⋊Dic43—41no—
420C4⋊Dic43—41no—
421C4⋊Dic43—41no—
422C4⋊Dic43—41no—
423C4⋊Dic43—41no—
424C4⋊Dic43—41no—
425C4⋊Dic43—41no—
426Dic43⋊C4—22no—
427Dic43⋊C4—22no—
428Dic43⋊C4—22no—
429Dic43⋊C4—22no—
430Dic43⋊C4—22no—
431Dic43⋊C4—22no—
432Dic43⋊C4—22no—
433Dic43⋊C4—22no—
434Dic43⋊C4—22no—
435Dic43⋊C4—41no—
436Dic43⋊C4—41no—
437Dic43⋊C4—41no—
438Dic43⋊C4—41no—
439Dic43⋊C4—41no—
440Dic43⋊C4—41no—
441Dic43⋊C4—41no—
442Dic43⋊C4—41no—
443Dic43⋊C4—41no—
444Dic43⋊C4—41no—
445Dic43⋊C4—41no—
446Dic43⋊C4—41no—
447Dic43⋊C4—41no—
448Dic43⋊C4—41no—
449Dic43⋊C4—41no—
450Dic43⋊C4—41no—
451Dic43⋊C4—41no—
452C4×Dic43—22no—
453C4×Dic43—22no—
454C4×Dic43—22no—
455C4×Dic43—22no—
456C4×Dic43—41no—
457C4×Dic43—41no—
458C4×Dic43—41no—
459C4×Dic43—41no—
460C4×Dic43—41no—
461C4×Dic43—41no—
462C4×Dic43—41no—
463C4×Dic43—41no—
464C4×Dic43#4114yes—
465C23×C43—21no—
466C23×C43—21no—
467C23×C43—21no—
468C23×C43—21no—
469C23×C43—21no—
470C23×C43—21no—
471C23×C43—21no—
472C23×C43C2511yescharacteristic
473C2×C4×C43—21no—
474C2×C4×C43—21no—
475C2×C4×C43—21no—
476C2×C4×C43—21no—
477C2×C4×C43—21no—
478C2×C4×C43—21no—
479C2×C4×C43—21no—
480C2×C4×C43—21no—
481C2×C4×C43—21no—
482C2×C4×C43—21no—
483C2×C4×C43—21no—
484C2×C4×C43—21no—
485C2×C4×C43—21no—
486C2×C4×C43—21no—
487C2×C4×C43—21no—
488C2×C4×C43—21no—
489C2×C4×C43—21no—
490C2×C4×C43—21no—
491C2×C4×C43—21no—
492C2×C4×C43—21no—
493C2×C4×C43—21no—
494C2×C4×C43—21no—
495C2×C4×C43—21no—
496C2×C4×C43—21no—
497C2×C4×C43—21no—
498C2×C4×C43—21no—
499C2×C4×C43—21no—
500C2×C4×C43—21no—
501C2×C4×C43—21no—
502C2×C4×C43—21no—
503C2×C4×C43—21no—
504C2×C4×C43—21no—
505C2×C4×C43—21no—
506C2×C4×C43—21no—
507C2×C4×C43—21no—
508C2×C4×C43—21no—
509C2×C4×C43—21no—
510C2×C4×C43—21no—
511C2×C4×C43—21no—
512C2×C4×C43—21no—
513C2×C4×C43C2×#4112yes—
514C2×C4×C432−1+412yes—
515C2×Dic43—21no—
516C2×Dic43—21no—
517C2×Dic43—21no—
518C2×Dic43—21no—
519C2×Dic43—21no—
520C2×Dic43—21no—
521C2×Dic43—21no—
522C2×Dic43—21no—
523C2×Dic43—21no—
524C2×Dic43—21no—
525C2×Dic43—21no—
526C2×Dic43—21no—
527C2×Dic43—21no—
528C2×Dic43—21no—
529C2×Dic43—21no—
530C2×Dic43—21no—
531C2×Dic43—21no—
532C2×Dic43—21no—
533C2×Dic43—21no—
534C2×Dic43—21no—
535C2×Dic43—21no—
536C2×Dic43—21no—
537C2×Dic43—21no—
538C2×Dic43—21no—
539C2×Dic43—21no—
540C2×Dic43—21no—
541C2×Dic43—21no—
542C2×Dic43—21no—
543C2×Dic43—21no—
544C2×Dic43—21no—
545C2×Dic43—21no—
546C2×Dic43—21no—
547C2×Dic43—21no—
548C2×Dic43—21no—
549C2×Dic43—21no—
550C2×Dic43—21no—
551C2×Dic43—21no—
552C2×Dic43—21no—
553C2×Dic43—21no—
554C2×Dic43—21no—
555C2×Dic43—21no—
556C2×Dic43—21no—
557C2×Dic43—21no—
558C2×Dic43—21no—
559C2×Dic43—21no—
560C2×Dic43—44no—
561C2×Dic43C2×#4112yes—
562C2×Dic43C2×#4112yes—
563C2×Dic432−1+412yes—
564Dic86—44no—
565Dic86—82no—
566Dic86—82no—
567#37001—431nomaximal, Sylow
568C22×C43—41no—
569C22×C43—41no—
570C22×C43—41no—
571C22×C43—41no—
572C22×C43—41no—
573C22×C43—41no—
574C22×C43—41no—
575C22×C43C22×#4111yescharacteristic
576C22×C43C2×2−1+411yescharacteristic
577C22×C43C2×2−1+411yescharacteristic
578C22×C43#58511yescharacteristic
579C22×C43#58511yescharacteristic
580C22×C43#58511yescharacteristic
581C22×C43#58511yescharacteristic
582C4×C43—22no—
583C4×C43—22no—
584C4×C43—41no—
585C4×C43—41no—
586C4×C43—41no—
587C4×C43—41no—
588C4×C43—41no—
589C4×C43—41no—
590C4×C43—41no—
591C4×C43—41no—
592C4×C43—41no—
593C4×C43—41no—
594C4×C43—41no—
595C4×C43—41no—
596Dic43—22no—
597Dic43—22no—
598Dic43—22no—
599Dic43—41no—
600Dic43—41no—
601Dic43—41no—
602Dic43—41no—
603Dic43—41no—
604Dic43—41no—
605Dic43—41no—
606Dic43—41no—
607Dic43—41no—
608Dic43—41no—
609Dic43—41no—
610Dic43—41no—
611Dic43—41no—
612#2866—431no—
613#2863—431no—
614#2799—431no—
615#2798—431no—
616#2794—431no—
617#2793—431no—
618#2792—431no—
619#2791—431no—
620#2789—431no—
621#2788—431no—
622#2788—431no—
623#2770—431no—
624#2770—431no—
625#2769—431no—
626#2762—431no—
627#2759—431no—
628#2758—431no—
629#2754—431no—
630#2655—431no—
631#2650—431no—
632#2611—431no—
633#2605—431no—
634#2599—431no—
635#2594D4311yescharacteristic
636#2588—431no—
637#2565—431no—
638#2533—431no—
639#2532—431no—
640#2336—431no—
641#2314—431no—
642#2295—431no—
643C2×C43—81no—
644C2×C43#345511yescharacteristic
645C2×C43#349511yescharacteristic
646C2×C43#350711yescharacteristic
647C2×C43#355511yescharacteristic
648C2×C43#356411yescharacteristic
649C2×C43#356511yescharacteristic
650C2×C43#356611yescharacteristic
651C2×#125—431no—
652C2×C4×Q8—431no—
653C2×#117—431no—
654#401—431no—
655#401C2×D4311yescharacteristic
656#400—431no—
657#400—431no—
658#400—431no—
659#400—431no—
660#400—431no—
661#400—431no—
662#400—431no—
663#400—431no—
664#400—431no—
665#400—431no—
666#400—431no—
667#400—431no—
668#400—431no—
669#400—431no—
670#400—431no—
671#400—431no—
672#400—431no—
673#399—431no—
674#398—431no—
675#398—431no—
676#398—431no—
677#398—431no—
678#398—431no—
679#398—431no—
680#398—431no—
681#398—431no—
682#398—431no—
683#398—431no—
684#398—431no—
685#398C2×D4311yescharacteristic
686#397—431no—
687#397—431no—
688#397—431no—
689#397—431no—
690#397—431no—
691#397C2×D4311yescharacteristic
692#396—431no—
693#396C2×D4311yescharacteristic
694#395—431no—
695#395—431no—
696#395—431no—
697#395—431no—
698#395—431no—
699#393—431no—
700#393—431no—
701#393—431no—
702#391—431no—
703#391—431no—
704#391—431no—
705#391—431no—
706#391—431no—
707#391—431no—
708#391—431no—
709#391—431no—
710#391—431no—
711#391—431no—
712#391—431no—
713#391—431no—
714#389—431no—
715#389—431no—
716#389—431no—
717#389—431no—
718#389—431no—
719#389—431no—
720#389—431no—
721#389—431no—
722#389—431no—
723#389C2×D4311yescharacteristic
724#388—431no—
725#388—431no—
726#388—431no—
727#388—431no—
728#388—431no—
729#388—431no—
730#388—431no—
731#388—431no—
732#388—431no—
733#388—431no—
734#388—431no—
735#388C2×D4311yescharacteristic
736#388C2×D4311yescharacteristic
737#388C2×D4311yescharacteristic
738#388C2×D4311yescharacteristic
739#388C2×D4311yescharacteristic
740#387—431no—
741#387—431no—
742#387—431no—
743#387—431no—
744#387—431no—
745#387—431no—
746#387—431no—
747#387—431no—
748#387—431no—
749#387—431no—
750#387—431no—
751#387—431no—
752#387—431no—
753#387—431no—
754#387—431no—
755#387—431no—
756#387—431no—
757#387—431no—
758#387—431no—
759#387—431no—
760#387—431no—
761#387—431no—
762#387—431no—
763#387—431no—
764#387—431no—
765#387—431no—
766#387—431no—
767#387—431no—
768#387—431no—
769#387—431no—
770#387—431no—
771#387—431no—
772#387—431no—
773#387—431no—
774#387—431no—
775#387—431no—
776#387—431no—
777#387—431no—
778#387—431no—
779#387C2×D4311yescharacteristic
780#387C2×D4311yescharacteristic
781#387C2×D4311yescharacteristic
782#385—431no—
783#385—431no—
784#385—431no—
785#385—431no—
786#384—431no—
787#384—431no—
788#383—431no—
789#383—431no—
790#383—431no—
791#383—431no—
792#383—431no—
793#382—431no—
794#382—431no—
795#380—431no—
796#380—431no—
797C4×C4⋊C4—431no—
798C4×C4⋊C4—431no—
799C4×C4⋊C4—431no—
800C4×C4⋊C4—431no—
801C4×C4⋊C4C2×D4311yescharacteristic
802C4×C4⋊C4C2×D4311yescharacteristic
803#376—431no—
804#376—431no—
805C43—431no—
806C43#3700111yescharacteristic, complemented, Sylow
807C22×Q8—431no—
808C22×Q8—431no—
809C22×Q8—431no—
810C23×C4—431no—
811#125—864no—
812C4×Q8—864no—
813#117—864no—
814C2×C4⋊C4—431no—
815C2×C4⋊C4—431no—
816C2×C4⋊C4—431no—
817C2×C4⋊C4—431no—
818C2×C4⋊C4—431no—
819C2×C4⋊C4—431no—
820C2×C4⋊C4—431no—
821C2×C4⋊C4—431no—
822C2×C4⋊C4—431no—
823C2×C4⋊C4—431no—
824C2×C4⋊C4—431no—
825C2×C4⋊C4—431no—
826C2×C4⋊C4—431no—
827C2×C4⋊C4—431no—
828C2×C4⋊C4—431no—
829C2×C4⋊C4—431no—
830C2×C4⋊C4—431no—
831C2×C4⋊C4—431no—
832C2×C4⋊C4—431no—
833C2×C4⋊C4—431no—
834C2×C4⋊C4—431no—
835C2×C4⋊C4—431no—
836C2×C4⋊C4—431no—
837C2×C4⋊C4—431no—
838C2×C4⋊C4—431no—
839C2×C4⋊C4—431no—
840C2×C4⋊C4—431no—
841C2×C4⋊C4—431no—
842C2×C4⋊C4—431no—
843C2×C4⋊C4—431no—
844C2×C4⋊C4—431no—
845C2×C4⋊C4—431no—
846C2×C4⋊C4—431no—
847C2×C4⋊C4—431no—
848C2×C4⋊C4—431no—
849C2×C4⋊C4—431no—
850C2×C4⋊C4C22×D4311yescharacteristic
851C2×C4⋊C4C22×D4311yescharacteristic
852C2×C4⋊C4C22×D4311yescharacteristic
853C2×C4⋊C4C22×D4311yescharacteristic
854C2×C4⋊C4C22×D4311yescharacteristic
855C2×C4⋊C4C22×D4311yescharacteristic
856C2×C4⋊C4C22×D4311yescharacteristic
857C2×C4⋊C4C22×D4311yescharacteristic
858C2×C4⋊C4C22×D4311yescharacteristic
859C2×C22⋊C4—431no—
860C2×C22⋊C4—431no—
861C2×C22⋊C4—431no—
862C2×C22⋊C4—431no—
863C2×C22⋊C4—431no—
864C2×C22⋊C4—431no—
865C2×C22⋊C4—431no—
866C2×C22⋊C4C22×D4311yescharacteristic
867C2×C22⋊C4C22×D4311yescharacteristic
868C2×C22⋊C4C22×D4311yescharacteristic
869C2×C22⋊C4C22×D4311yescharacteristic
870C2×C22⋊C4C22×D4311yescharacteristic
871C2×C22⋊C4C22×D4311yescharacteristic
872C2×C22⋊C4C22×D4311yescharacteristic
873C2×C42—431no—
874C2×C42—431no—
875C2×C42—431no—
876C2×C42—431no—
877C2×C42—431no—
878C2×C42—431no—
879C2×C42—431no—
880C2×C42—431no—
881C2×C42—431no—
882C2×C42—431no—
883C2×C42—431no—
884C2×C42—431no—
885C2×C42—431no—
886C2×C42C22×D4311yescharacteristic
887C2×C42C22×D4311yescharacteristic
888C2×C42C22×D4311yescharacteristic
889C2×C42C22×D4311yescharacteristic
890C2×C42C22×D4311yescharacteristic
891#95—431no—
892#95—431no—
893#95—431no—
894#95—431no—
895#95—431no—
896#95—431no—
897#95—431no—
898#95—431no—
899#95—431no—
900#95—431no—
901#95—431no—
902#95—431no—
903#95—431no—
904#95—431no—
905#95—431no—
906#95—431no—
907#95—431no—
908#95—431no—
909#95—431no—
910#95—431no—
911#95—431no—
912#95—431no—
913#95—431no—
914#95—431no—
915#95—431no—
916#95—431no—
917#95—431no—
918#95—431no—
919#95—431no—
920#95—431no—
921#95—431no—
922#95—431no—
923#95—431no—
924#95—431no—
925#95—431no—
926#95—431no—
927#95—431no—
928#95—431no—
929#95—431no—
930#95—431no—
931#95—431no—
932#95—431no—
933#95—431no—
934#95—431no—
935#95—431no—
936#95—431no—
937#95—431no—
938#95—431no—
939#95—431no—
940#95—431no—
941#95—431no—
942#95—431no—
943#95—431no—
944#95—431no—
945#95—431no—
946#95—431no—
947#95—431no—
948#95—431no—
949#95—431no—
950#95—431no—
951#95C22×D4311yescharacteristic
952#95C22×D4311yescharacteristic
953#95C22×D4311yescharacteristic
954#95C22×D4311yescharacteristic
955#95C22×D4311yescharacteristic
956#95C22×D4311yescharacteristic
957#95C22×D4311yescharacteristic
958#95C22×D4311yescharacteristic
959#95C22×D4311yescharacteristic
960#95C22×D4311yescharacteristic
961#95C22×D4311yescharacteristic
962#95C22×D4311yescharacteristic
963#95C22×D4311yescharacteristic
964#95C22×D4311yescharacteristic
965C24C23×D4311yescharacteristic
966C2×Q8—862no—
967C2×Q8—862no—
968C2×Q8—862no—
969C2×Q8—1721no—
970C2×Q8—1721no—
971C2×Q8—1721no—
972C2×Q8—1721no—
973C2×Q8—1721no—
974C2×Q8—1721no—
975C22×C4—431no—
976C22×C4—431no—
977C22×C4—431no—
978C22×C4—431no—
979C22×C4—431no—
980C22×C4—431no—
981C22×C4—431no—
982C22×C4—431no—
983C22×C4—431no—
984C22×C4—431no—
985C22×C4—431no—
986C22×C4—431no—
987C22×C4—431no—
988C22×C4—431no—
989C22×C4—431no—
990C22×C4—431no—
991C22×C4—862no—
992C22×C4—1721no—
993C22×C4—1721no—
994C22×C4C23×D4311yescharacteristic
995C22×C4C23×D4311yescharacteristic
996C22×C4C23×D4311yescharacteristic
997C22×C4C23×D4311yescharacteristic
998C22×C4C23×D4311yescharacteristic
999C22×C4C23×D4311yescharacteristic
1000C22×C4C23×D4311yescharacteristic
1001C22×C4C23×D4311yescharacteristic
1002C22×C4C23×D4311yescharacteristic
1003C22×C4C23×D4311yescharacteristic
1004C22×C4C23×D4311yescharacteristic
1005C22×C4C23×D4311yescharacteristic
1006C22×C4C23×D4311yescharacteristic
1007C22×C4C23×D4311yescharacteristic
1008C4⋊C4—22no—
1009C4⋊C4—22no—
1010C4⋊C4—22no—
1011C4⋊C4—41no—
1012C4⋊C4—41no—
1013C4⋊C4—41no—
1014C4⋊C4—41no—
1015C4⋊C4—41no—
1016C4⋊C4—41no—
1017C4⋊C4—862no—
1018C4⋊C4—862no—
1019C4⋊C4—862no—
1020C4⋊C4—862no—
1021C4⋊C4—862no—
1022C4⋊C4—862no—
1023C4⋊C4—862no—
1024C4⋊C4—862no—
1025C4⋊C4—862no—
1026C4⋊C4—862no—
1027C4⋊C4—862no—
1028C4⋊C4—862no—
1029C4⋊C4—1721no—
1030C4⋊C4—1721no—
1031C4⋊C4—1721no—
1032C4⋊C4—1721no—
1033C4⋊C4—1721no—
1034C4⋊C4—1721no—
1035C4⋊C4—1721no—
1036C4⋊C4—1721no—
1037C4⋊C4—1721no—
1038C4⋊C4—1721no—
1039C4⋊C4—1721no—
1040C4⋊C4—1721no—
1041C4⋊C4—1721no—
1042C4⋊C4—1721no—
1043C4⋊C4—1721no—
1044C4⋊C4—1721no—
1045C4⋊C4—1721no—
1046C4⋊C4—1721no—
1047C4⋊C4—1721no—
1048C4⋊C4—1721no—
1049C4⋊C4—1721no—
1050C4⋊C4—1721no—
1051C4⋊C4—1721no—
1052C4⋊C4—1721no—
1053C22⋊C4—22no—
1054C22⋊C4—22no—
1055C22⋊C4—41no—
1056C22⋊C4—41no—
1057C22⋊C4—41no—
1058C22⋊C4—41no—
1059C22⋊C4—41no—
1060C22⋊C4—862no—
1061C22⋊C4—862no—
1062C22⋊C4—1721no—
1063C22⋊C4—1721no—
1064C22⋊C4—1721no—
1065C22⋊C4—1721no—
1066C22⋊C4—1721no—
1067C42—22no—
1068C42—41no—
1069C42—41no—
1070C42—41no—
1071C42—41no—
1072C42—434no—
1073C42—862no—
1074C42—862no—
1075C42—862no—
1076C42—862no—
1077C42—1721no—
1078C42—1721no—
1079C42—1721no—
1080C42—1721no—
1081C42—1721no—
1082C42—1721no—
1083C42—1721no—
1084C42—1721no—
1085C23—21no—
1086C23—21no—
1087C23—21no—
1088C23—21no—
1089C23—21no—
1090C23—21no—
1091C23—21no—
1092C23C24×D4311yescharacteristic
1093Q8—3442no—
1094Q8—3442no—
1095Q8—1724no—
1096C2×C4—21no—
1097C2×C4—21no—
1098C2×C4—21no—
1099C2×C4—21no—
1100C2×C4—21no—
1101C2×C4—21no—
1102C2×C4—21no—
1103C2×C4—21no—
1104C2×C4—21no—
1105C2×C4—21no—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—432no—
1137C2×C4—432no—
1138C2×C4—432no—
1139C2×C4—861no—
1140C2×C4—861no—
1141C2×C4—861no—
1142C2×C4—861no—
1143C2×C4—861no—
1144C2×C4—861no—
1145C2×C4—861no—
1146C2×C4—861no—
1147C2×C4—861no—
1148C2×C4—861no—
1149C2×C4—861no—
1150C2×C4—861no—
1151C2×C4—861no—
1152C2×C4—861no—
1153C2×C4—861no—
1154C2×C4—861no—
1155C2×C4—861no—
1156C2×C4—861no—
1157C2×C4—861no—
1158C2×C4—861no—
1159C2×C4—861no—
1160C2×C4—861no—
1161C2×C4—861no—
1162C2×C4—861no—
1163C2×C4—861no—
1164C2×C4—861no—
1165C2×C4—861no—
1166C2×C4—861no—
1167C2×C4—861no—
1168C2×C4—861no—
1169C2×C4—861no—
1170C2×C4—861no—
1171C2×C4—861no—
1172C2×C4—861no—
1173C2×C4—861no—
1174C2×C4—861no—
1175C2×C4—861no—
1176C2×C4—861no—
1177C2×C4—861no—
1178C2×C4—861no—
1179C2×C4—861no—
1180C2×C4—861no—
1181C2×C4—861no—
1182C2×C4—861no—
1183C2×C4—861no—
1184C2×C4—1724no—
1185C2×C4#41×D4312yes—
1186C2×C4#1306337212yes—
1187C22—41no—
1188C22—41no—
1189C22—41no—
1190C22—41no—
1191C22—41no—
1192C22—41no—
1193C22—41no—
1194C22C2×#41×D4311yescharacteristic
1195C222−1+4×D4311yescharacteristic
1196C22C2×#1306337211yescharacteristic
1197C22#1458373411yescharacteristic
1198C22#1458373511yescharacteristic
1199C22#1458373511yescharacteristic
1200C22#1458373511yescharacteristic
1201C4—22no—
1202C4—22no—
1203C4—41no—
1204C4—41no—
1205C4—41no—
1206C4—41no—
1207C4—41no—
1208C4—41no—
1209C4—41no—
1210C4—41no—
1211C4—41no—
1212C4—41no—
1213C4—41no—
1214C4—41no—
1215C4—862no—
1216C4—862no—
1217C4—862no—
1218C4—1721no—
1219C4—1721no—
1220C4—1721no—
1221C4—1721no—
1222C4—1721no—
1223C4—1721no—
1224C4—1721no—
1225C4—1721no—
1226C4—1721no—
1227C4—1721no—
1228C4—1721no—
1229C4—1721no—
1230C4—1721no—
1231C2—81no—
1232C2#1914797811yescharacteristic
1233C2#1914833511yescharacteristic
1234C2#1914845511yescharacteristic
1235C2#1914908211yescharacteristic
1236C2#1914921411yescharacteristic
1237C2#1914923011yescharacteristic
1238C2#1914926911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2594C2
prime radicalC24×C43C24
hypercenter#2594D43
hypocenterC43#37001
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2594

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #19142976C2semidirect
3. #19142475C2semidirect
5. #19142414C2semidirect
7. #19142390C2semidirect
8. #19142378C2semidirect
9. #19142349C2semidirect
14. #19142088C2semidirect
15. #19141996C2semidirect
17. #19141945C2semidirect
19. #19140694C2semidirect
22. #19140242C2semidirect
24. #19140025C2semidirect
25. #19139784C2semidirect
26. #19139472C2semidirect
28. #19137394C2semidirect
30. #19137069C2semidirect
806. C43#37001semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191429862
#191429762
#191424752
#191424732
#191424142
#191424092
#191423902
#191423782
#191423492
#191423422
#191423342
#191421032
#191421012
#191420882
#191419962
#191419602
#191419452
#191418852
#191406942
#191406172
#191402902
#191402422
#191401692
#191400252
#191397842
#191394722
#191394592
#191373942
#191371992
#191370692
C43×#25942
#3700143